250220829456900 has 729 divisors, whose sum is σ = 825214871674557. Its totient is φ = 63415212595200.

The previous prime is 250220829456893. The next prime is 250220829456989. The reversal of 250220829456900 is 9654928022052.

The square root of 250220829456900 is 15818370.

It is a perfect power (a square), and thus also a powerful number.

250220829456900 is a `hidden beast` number, since 2 + 5 + 0 + 2 + 20 + 82 + 9 + 456 + 90 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 213444561306564 + 36776268150336 = 14609742^2 + 6064344^2 .

It is a super-2 number, since 2×250220829456900² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1073909139184 + ... + 1073909139416.

Almost surely, 2^{250220829456900} is an apocalyptic number.

250220829456900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

250220829456900 is the 15818370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250220829456900

250220829456900 is an abundant number, since it is smaller than the sum of its proper divisors (574994042217657).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

250220829456900 is a wasteful number, since it uses less digits than its factorization.

250220829456900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 250220829456900 in words is "two hundred fifty trillion, two hundred twenty billion, eight hundred twenty-nine million, four hundred fifty-six thousand, nine hundred".